Select the correct answer from each drop-down menu. consider this quotient. the simplest form of this quotient has a numerator of and a denominator of _______. the expression does not exist when ______.

Answer:

0.5

Step-by-step explanation:

5/10 of a circle is half of the circle.

Half is 0.5.

Answer:

25

Step-by-step explanation:

As it's already stated in the hint that when angles form a linear pair their sum is equal to 180

5x - 5 + 2x + 10 = 180 add like terms

7x + 5 = 180 subtract 5 from both sides

7x = 175 divide both sides by 7

x = 25

The scenarios not accounted for or measured inaccurately by either the income or the expenditure methods of calculating GDP for the United States are A. The costs of air and water pollution and D. The import and sale of illegal drugs from South America.

GDP, while a reasonably good measure of a nation's output, has limitations in capturing certain aspects of economic activity. First, the costs of air and water pollution are not directly included in GDP calculations. Although environmental damage affects the well-being and productivity of a nation, it is not accounted for as a separate component within GDP.

Second, the import and sale of illegal drugs from South America are considered underground economic activities that occur outside the legal framework. Since these transactions are often unreported or hidden, they are not included in GDP calculations.

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Two sports cars leave the same city at 9 A. M. One heads south at 30 mi/h, while the other travels east at 25 mi/h. So The two sports cars are approximately 79.57 miles apart at noon.

The first car is traveling south at a speed of 30 mi/h, and the second car is traveling east at a speed of 25 mi/h. To find the distance between them at noon, we need to calculate the displacement of each car during the three-hour period. The first car travels 30 mi/h for three hours, covering a distance of 90 miles south. The second car travels 25 mi/h for three hours, covering a distance of 75 miles east. By applying the Pythagorean theorem, we can find the distance between the two cars, which is approximately 79.57 miles.

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Answer:RT is congruent to WX

Step-by-step explanation:

Answer: RT

Step-by-step explanation:

Answer:

The sale price is %91.80.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

The function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

To find f(t) from the Laplace transform ℋ(f(t)), we need to apply the inverse Laplace transform ℒ⁻¹ to ℋ(f(t)).

Given ℋ(f(t)) = ℋ{s(t)}, we have:

ℒ⁻¹{ℋ(s(t))} = ℒ⁻¹{ℋ[(s + 1)²/s]} = ℒ⁻¹{ℋ[s/s] + ℋ[2s/(s+1)²] + ℋ[1/(s+1)²]}

Using the properties of Laplace transforms and taking the inverse Laplace transforms, we get:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

where u(t) is the unit step function.

Therefore, the function f(t) corresponding to the Laplace transform ℋ(f(t)) = ℋ{s(t)} is:

f(t) = u(t) + 2te^(-t) + t^2/2 u(t)

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The required representation of given number line is x ∈ (-10,  ∞).

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities, is at the core of social justice theories. However, because it frequently means different things to different people, it is prone to confusion in public discourse.

We have number line,

By using baby curve method.

The representation of the line is ,

Let the line is x axis

Then

x ≥-10

x ∈ (-10,  ∞)

Thus, the required inequality is  (-10,  ∞).

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Answer:

(15, - 4 ) , (3, - 2 ) , (- 1, 0 )

Step-by-step explanation:

given a point (x, y ) on a function f(x) , then the corresponding point on the inverse function is (y, x )

given the points on g(x) , then the corresponding points on \(g^{-1}\) (x) are

(- 4, 15 ) → (15, - 4 )

(- 2, 3 ) → (3, - 2 )

(0, - 1 ) → (- 1, 0 )

Answer:

<? >{

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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The Explicit Formula is a(n) = 27×\((\frac{2}{3})^n^-^1\)

Given,

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r,

and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is:

a(n) = a(1)*(2/3)^(n - 1),

or, since a(1) = 27,

a(n) = 27×\((\frac{2}{3})^n^-^1\)

Hence, The Explicit Formula is a(n) = 27×\((\frac{2}{3})^n^-^1\)

What is Explicit formula For sequence?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

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The test statistic, in this case, is calculated by subtracting the sample mean of faculty cars from the sample mean of student cars and dividing it by the standard error of the difference in means.

To calculate the test statistic, we first need to calculate the standard error of the difference in means. The standard error is the square root of the sum of variances divided by the sample sizes. In this case, the standard error (SE) can be calculated as follows:

SE = sqrt((variance_student / sample_size_student) + (variance_faculty / sample_size_faculty))

Plugging in the given values, we have:

SE = sqrt((20 / 25) + (16 / 32)) ≈ sqrt(0.8 + 0.5) ≈ sqrt(1.3) ≈ 1.14

Next, we calculate the test statistic (TS), which is the difference in means divided by the standard error:

TS = (mean_student - mean_faculty) / SE

TS = (7 - 5.8) / 1.14 ≈ 1.05

Therefore, the value of the test statistic, when the difference is taken as student faculty, is approximately 1.05.

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Answer:

decay

Step-by-step explanation:

y=28(0.438)^8

This is in the form

y = a b^x

a is the initial value and b is the rate of growth or decay

since b < 1 the function is decaying

Answer:

see below options

Step-by-step explanation:

3x + 3

option 1

factor out

= 3 (x + 1)

option 2

3x + 3 = 0

3x = 3

x = 3/3

x = 1

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Answer:

Step-by-step explanation:

What are the options?

Answer:

Answer/Step-by-step explanation:

Recall: the ratio of the areas of two similar figures = the square of the ratio of the corresponding sides of the similar figures.

This will give us the scale factor.

The scale factor indicates how many times larger the second triangle is than the area of the first.

Let's find how many times larger is the area of the second triangle is to the first:

1. ∆ G And ∆ F

\frac{Area_{F}}{Area_{G}} = \frac{side_{F}^2}{side_{G}^2}

Area

G

Area

F

=

side

G

2

side

F

2

\frac{Area_{F}}{Area_{G}} = \frac{6^2}{3^2}

Area

G

Area

F

=

3

2

6

2

= \frac{36}{9} = 4=

9

36

=4

∆F is 4 times larger than ∆G

2. ∆ G And ∆ B

\frac{Area_{B}}{Area_{G}} = \frac{side_{B}^2}{side_{G}^2}

Area

G

Area

B

=

side

G

2

side

B

2

\frac{Area_{B}}{Area_{G}} = \frac{2^2}{4^2}

Area

G

Area

B

=

4

2

2

2

= \frac{4}{16} = 0.25=

16

4

=0.25

∆B is 0.25 times ∆G

3. ∆ B And ∆ F

\frac{Area_{G}}{Area_{B}} = \frac{side_{F}^2}{side_{B}^2}

Area

B

Area

G

=

side

B

2

side

F

2

\frac{Area_{F}}{Area_{B}} = \frac{8^2}{2^2}

Area

B

Area

F

=

2

2

8

2

= \frac{64}{4} = 4=

4

64

=4

∆F is 16 times larger than ∆B

4. ∆ F And ∆ H

In the plot, the line represents the median (Q2), the box represents the interquartile range (Q1 to Q3), and the whiskers represent the minimum and maximum values.

Define median ?

In statistics, the median is a measure of central tendency. When the data points are sorted in ascending or descending order, it represents the dataset's median value.

To create a box and whisker plot for the given scores of ten students on a math exam (83, 78, 93, 90, 75, 81, 91, 80, 89, 79), The minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values must all be determined.

Let's arrange the scores in ascending order:

75, 78, 79, 80, 81, 83, 89, 90, 91, 93

Now, let's find the quartiles:

Q1: The median of the data set's lower half.

Q2: The overall data set's median.

Q3: The median of the data set's top half.

Q1 = 79

Q2 = (81 + 83) / 2 = 82

Q3 = 90

Next, we can determine the minimum and maximum values:

Minimum: 75

Maximum: 93

In the plot, the line represents the median (Q2), the box represents the interquartile range (Q1 to Q3), and the whiskers represent the minimum and maximum values.

Therefore, the box and whisker plot for the given scores is as shown above.

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Answer:

\(log_2(512) = 9\)

Step-by-step explanation:

\(We \: need \: to \: calculate \: log_2(512)\)

\(512 = 2 {}^{9} ⟼ log_{2}(512) = log_{2} (2 {}^{9} ) \)

\( log_{a}b {}^{n} = n \: log_{a}b\)\(⟼ log_{2} {2}^{9} = 9 \: log_{2}2\)

\(since \: log_{a}a = 1⟼ log_{2}(512) = 9\)

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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Answer:

Not a polynomial

Step-by-step explanation:

The leading coefficient test requires a polynomial

Answer:

nah

Step-by-step explanation: